A numerical model of the Boltzmann equation related to the discontinuous Galerkin
method

We propose a new deterministic numerical model, based on the discontinuous Galerkin
method, for solving the nonlinear Boltzmann equation for rarefied gases.
A set of partial differential equations is derived and analyzed.
The new model guarantees the conservation of the mass, momentum and energy for homogeneous
solutions.
We avoid any stochastic procedures in the treatment of the collision operator of the
Boltzmamn equation.